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88056825664 = 2612710833763
BaseRepresentation
bin101001000000010011…
…0001000011101000000
322102021211110020001111
41102000212020131000
52420320021410124
6104241443213104
76235062445153
oct1220046103500
9272254406044
1088056825664
1134387867495
1215096077194
1383c4383092
144394bd5c9a
152455991494
hex1480988740

88056825664 has 28 divisors (see below), whose sum is σ = 176113667584. Its totient is φ = 43681728384.

The previous prime is 88056825631. The next prime is 88056825671. The reversal of 88056825664 is 46652865088.

88056825664 is an admirable number.

It is a super-3 number, since 3×880568256643 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 88056825599 and 88056825608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5408754 + ... + 5425009.

Almost surely, 288056825664 is an apocalyptic number.

It is an amenable number.

88056825664 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88056825664 is a wasteful number, since it uses less digits than its factorization.

88056825664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10833902 (or 10833892 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 58.

The spelling of 88056825664 in words is "eighty-eight billion, fifty-six million, eight hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 2032 4064 8128 10833763 21667526 43335052 86670104 173340208 346680416 693360832 1375887901 2751775802 5503551604 11007103208 22014206416 44028412832 88056825664